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LenaWriter [7]
3 years ago
14

5x + 4 > -6 show your work

Mathematics
2 answers:
alexandr402 [8]3 years ago
8 0
The answer is x > -2.

1. Subtract 4 from both sides ( 5x > -6 - 4)

2. Simplify <span><span><span>−6 - 4 to 10 ( 5x > -10)
</span></span></span>
3. divide both sides by 5 ( x > -10/5)

4. simplify 10/5 to 2 ( x > -2)


shutvik [7]3 years ago
7 0
Let's solve your inequality step-by-step.

<span><span><span>5x</span>+4</span>><span>−6

</span></span>Step 1: Subtract 4 from both sides.

<span><span><span><span>5x</span>+4</span>−4</span>><span><span>−6</span>−4

</span></span><span><span>5x</span>><span>−10

</span></span>Step 2: Divide both sides by 5.

<span><span><span>5x/</span>5</span>><span><span>−10/</span>5

</span></span><span>x><span>−2

</span></span>Answer:

<span>x><span>−2</span></span><span>
</span>
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Answer:

(a) Set of rational numbers

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Step-by-step explanation:

Solving (a): Set that is closed under subtraction

The solution to this is rational numbers.

For a set of number to be closed under subtraction, the following condition must be true

a -b = c

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The above is only true for rational numbers.

e.g.

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The operations and the result in the above samples are rational numbers.

Solving (b): Choice not close under addition[See attachment for options]

As stated in (a)

For a set of number to be closed under subtraction, the following condition must be true

a -b = c

Where

a, b, c are of the same set.

In the given options (a) to (d), only

\pi + (-\pi) = 0 is not close under addition because:

\pi is irrational while 0 is rational

<em>In other words, they belong to different set</em>

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